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arXiv 1209.3531math.FA
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某些半群代数的根

Radicals of some semigroup algebras

H. G. Dales, D. Strauss, Y. Zelenyuk, Yu. Zelenyuk

摘要:

本文利用半群,特别是半群$(βS, \Box)$来确定某些代数的Jacobson根,其中$S$是可消的可数交换半群,$βS$是它的Stone-Čech半群紧化.特别地,我们希望确定$\ell^{ 1}(β\N)$的基团。

英文摘要:

In this paper we seek to determine the Jacobson radical of certain algebras based on semigroups, and in particular on the semigroups $(βS, \Box)$, where $S$ is a cancellative, countable, abelian semigroup and $βS$ is its Stone--Čech semigroup compactification. In particular, we wish to determine the radical of $\ell^{ 1}(β\N)$.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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